Hippopede
Have also a look at "Lemniscate of Bernoulli".
Also known as __oval__ or __lemniscate of Booth__.
// Define the id of your board in BOARDID
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-5, 5, 7, -5],
axis: true
});
var a = board.create('slider', [
[1, 4], [4, 4], [0, 1.5, 8]
], {
name: 'a'
});
var b = board.create('slider', [
[1, 3.5], [4, 3.5], [0, 1, 8]
], {
name: 'b'
});
var c = board.create('curve', [
(theta) => Math.sqrt(4 * b.Value() * (a.Value() - b.Value() * Math.sin(theta) ** 2)),
[0, 0],
0, 2 * Math.PI
], {
strokeWidth: 3,
curveType: 'polar'
});
This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note that you have to mention The Center of Mobile Learning with Digital Technology in the credits.